Here's why:
* Coulomb's Law: The force between two point charges is directly proportional to the product of the charges and inversely proportional to the square of the distance between them. Mathematically:
* F = k * (q1 * q2) / r^2
* Where:
* F is the force
* k is Coulomb's constant
* q1 and q2 are the magnitudes of the charges
* r is the distance between the charges
* Doubling the distance: If you double the distance (r), the force will be reduced by a factor of (1/2)^2 = 1/4.
In summary: The force between two charges decreases rapidly as the distance between them increases.